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Finding the Fourth Proportional to 4,871.17, 6,721.36 and 2,881

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Solution

The fourth proportional to 4,871.17, 6,721.36 and 2,881 is: 3,975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.17 : 6,721.36 = 2,881 : x
  2. Step 2: Convert to fraction form
    4,871.17/6,721.36 = 2,881/x
  3. Step 3: Cross multiply
    4,871.17x = 6,721.36 × 2,881
  4. Step 4: Simplify right side
    4,871.17x = 19,364,238.16
  5. Step 5: Solve for x
    x = 19,364,238.16/4,871.17
  6. Step 6: Final answer
    x = 3,975.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.